We introduce the concept
of embedding quantum simulators, a paradigm allowing efficient
computation of dynamical quantities requiring full quantum tomography
in a standard quantum simulator (one-to-one quantum simulator). The
concept consists in the suitable encoding of a simulated quantum
dynamics in the enlarged Hilbert space of an embedding quantum
simulator. In this manner, non-trivial quantities are mapped onto
physical observables, overcoming the necessity of full tomography,
and reducing drastically the experimental requirements. As examples,
we discuss how to evaluate entanglement monotones and time
correlation functions, each in a suitable embedding quantum
simulator. Finally, we expect that the proposed embedding framework
paves the way for a general theory of enhanced one-to-one quantum
simulators.